ZERO-DIVISORS AND IDEMPOTENTS IN QUANDLE RINGS

Bardakov, Valeriy G.; Passi, Inder Bir S.; Singh, Mahender

Osaka Journal of Mathematics, 2022, 59(3), 611-637

アクセス数:87件（2025-04-30 19:47 集計）

固定URL: https://doi.org/10.18910/88489

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タイトル
ZERO-DIVISORS AND IDEMPOTENTS IN QUANDLE RINGS
著者
著者名
Bardakov, Valeriy G.
著者名
Passi, Inder Bir S.
著者名
Singh, Mahender
抄録
The paper develops the theory of quandle rings introduced by the authors in a recent work. Orderability of quandles is investigated and many interesting examples of such quandles are given. It is proved that quandle rings of left or right orderable quandles which are semi-latin have nozero-divisors. Idempotents in quandle rings of certain interesting quandles are computed and used to determine sets of maximal quandles in these rings. Understanding of idempotents is further applied to determine automorphism groups of these quandle rings. Also, commutator width of quandle rings is introduced and computed in a few cases.
出版者
Osaka University and Osaka City University, Departments of Mathematics
収録物名
Osaka Journal of Mathematics
巻(号)
59(3)
ページ
611-637
刊行年月
2022-07
言語
英語
ハンドルURL
https://hdl.handle.net/11094/88489
DOI
https://doi.org/10.18910/88489
PISSN
00306126
NCID
AA00765910
アクセス権
open access
出版タイプ
Version of Record
カテゴリ
紀要論文 Departmental Bulletin Paper
Osaka Journal of Mathematics / Volume 59, Number 3 （2022-7）